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5. (15 points) The market demand function is (P)=18-P. The marginal cost is 3. Suppose there...
Suppose we have a market demand Q = 18 – P and a cost C(Q) 9)...
Suppose we have a market demand Q = 18 – P and a cost C(Q) 9) = 3Q?. (10 points) Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q 18 – P) with the same cost (C(q) = -23. 2 a. Set up firm 1's profit maximization. b. Solve for firm 1's best response function. C. Solve for firm 1's quantity, firm 2's quantity,...
Question 5 Demand in a market dominated by two firms (a Cournot duopoly) is determined according...
Question 5 Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 200 – 2(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $60. The cournot-duopoly equilibrium profit for each firm is _____. Hint: Write your answer to two decimal places. QUESTION 6...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is 0(p)9...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is 0(p)98 p and the cost function for the firms is Ca)735. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. 3 points) (b) Solve for the price, quantity, and profits for cach individual shop and then also for aggregate quantity in...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is o p) = 98 - P and the...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is o p) = 98 - P and the cost function for the firms is C(q) = 79 +35. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. (3 points) (b) Solve for the price, quantity, and profits for each individual shop...
2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's...
2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's marginal cost is 10, and firm 2's marginal cost is also 10. There are no fixed costs. A. Derive each firm's best response function B. What is the Nash equilibrium of this model? Find the equilibrium market price. C. Find the equilibrium profit for each firm D. Find the equilibrium consumer surplus in this market. 3. (Bertrand Model) Consider a Bertrand duopoly. The market...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is CP(p)...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is CP(p) -98 - and the cost function for the firms is Cla) -79 +35. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. (3 points) (b) Solve for the price, quantity, and profits for each individual shop and then also for...
1. A monopolist faces demand given by P=18-0.50(MR-18-Q) and produces with a constant marginal cost of...
1. A monopolist faces demand given by P=18-0.50(MR-18-Q) and produces with a constant marginal cost of $10. Assume that there are no fixed costs. i. Solve for the profit-maximizing quantity and price. What is the firm's profit? ii. If this was a competitive market, what would the equilibrium price and quantity be? iii. Graph D, MR, and MC curves for the monopolist. Show the area that represents the social gain if the monopolist was forced to produce and price at...
Suppose that the market demand curve for mineral water is given as ?=100−10? and marginal cost...
Suppose that the market demand curve for mineral water is given as ?=100−10? and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation. 1) Monopoly, Cournot duopoly, and Stackelberg duopoly 2)Bertrand duopoly (MR is fixed at the level of MC). 3) Perfect competitive market (MR is fixed at the level of MC).
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost...
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation (2 points for each subquestion). a) Monopoly b) Coumot duopoly c) Stackelberg duopoly d) Bertrand duopoly (MR is fixed at the level of MC). e) Perfect competitive market (MR is fixed at the level of MC)
Suppose we have a market demand Q = 18 – P and a cost C(Q) 9) = 3Q?. (10 points) Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q 18 – P) with the same cost (C(q) = -23. 2 a. Set up firm 1's profit maximization. b. Solve for firm 1's best response function. C. Solve for firm 1's quantity, firm 2's quantity,...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is 0(p)98 p and the cost function for the firms is Ca)735. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. 3 points) (b) Solve for the price, quantity, and profits for cach individual shop and then also for aggregate quantity in...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is o p) = 98 - P and the cost function for the firms is C(q) = 79 +35. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. (3 points) (b) Solve for the price, quantity, and profits for each individual shop...
2. (Cournot Model) Consider a Cournot duopoly. The market demand is p=160 - q2. Firm 1's marginal cost is 10, and firm 2's marginal cost is also 10. There are no fixed costs. A. Derive each firm's best response function B. What is the Nash equilibrium of this model? Find the equilibrium market price. C. Find the equilibrium profit for each firm D. Find the equilibrium consumer surplus in this market. 3. (Bertrand Model) Consider a Bertrand duopoly. The market...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
6. Suppose you have a job analyzing a perfectly competitive market. The aggregate demand is CP(p) -98 - and the cost function for the firms is Cla) -79 +35. Suppose all firms use the same cost function. (a) Setup and solve the profit maximization problem over quantity. Write the quantity an individual firm will produce as a function of the sale price. (3 points) (b) Solve for the price, quantity, and profits for each individual shop and then also for...
1. A monopolist faces demand given by P=18-0.50(MR-18-Q) and produces with a constant marginal cost of $10. Assume that there are no fixed costs. i. Solve for the profit-maximizing quantity and price. What is the firm's profit? ii. If this was a competitive market, what would the equilibrium price and quantity be? iii. Graph D, MR, and MC curves for the monopolist. Show the area that represents the social gain if the monopolist was forced to produce and price at...
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation (2 points for each subquestion). a) Monopoly b) Coumot duopoly c) Stackelberg duopoly d) Bertrand duopoly (MR is fixed at the level of MC). e) Perfect competitive market (MR is fixed at the level of MC)
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